Evaluate
\frac{94158125}{68}\approx 1384678.308823529
Factor
\frac{5 ^ {4} \cdot 79 \cdot 1907}{2 ^ {2} \cdot 17} = 1384678\frac{21}{68} = 1384678.3088235294
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\begin{array}{l}\phantom{68)}\phantom{1}\\68\overline{)94158125}\\\end{array}
Use the 1^{st} digit 9 from dividend 94158125
\begin{array}{l}\phantom{68)}0\phantom{2}\\68\overline{)94158125}\\\end{array}
Since 9 is less than 68, use the next digit 4 from dividend 94158125 and add 0 to the quotient
\begin{array}{l}\phantom{68)}0\phantom{3}\\68\overline{)94158125}\\\end{array}
Use the 2^{nd} digit 4 from dividend 94158125
\begin{array}{l}\phantom{68)}01\phantom{4}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}26\\\end{array}
Find closest multiple of 68 to 94. We see that 1 \times 68 = 68 is the nearest. Now subtract 68 from 94 to get reminder 26. Add 1 to quotient.
\begin{array}{l}\phantom{68)}01\phantom{5}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\end{array}
Use the 3^{rd} digit 1 from dividend 94158125
\begin{array}{l}\phantom{68)}013\phantom{6}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}57\\\end{array}
Find closest multiple of 68 to 261. We see that 3 \times 68 = 204 is the nearest. Now subtract 204 from 261 to get reminder 57. Add 3 to quotient.
\begin{array}{l}\phantom{68)}013\phantom{7}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\end{array}
Use the 4^{th} digit 5 from dividend 94158125
\begin{array}{l}\phantom{68)}0138\phantom{8}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\phantom{68)}\underline{\phantom{9}544\phantom{9999}}\\\phantom{68)99}31\\\end{array}
Find closest multiple of 68 to 575. We see that 8 \times 68 = 544 is the nearest. Now subtract 544 from 575 to get reminder 31. Add 8 to quotient.
\begin{array}{l}\phantom{68)}0138\phantom{9}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\phantom{68)}\underline{\phantom{9}544\phantom{9999}}\\\phantom{68)99}318\\\end{array}
Use the 5^{th} digit 8 from dividend 94158125
\begin{array}{l}\phantom{68)}01384\phantom{10}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\phantom{68)}\underline{\phantom{9}544\phantom{9999}}\\\phantom{68)99}318\\\phantom{68)}\underline{\phantom{99}272\phantom{999}}\\\phantom{68)999}46\\\end{array}
Find closest multiple of 68 to 318. We see that 4 \times 68 = 272 is the nearest. Now subtract 272 from 318 to get reminder 46. Add 4 to quotient.
\begin{array}{l}\phantom{68)}01384\phantom{11}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\phantom{68)}\underline{\phantom{9}544\phantom{9999}}\\\phantom{68)99}318\\\phantom{68)}\underline{\phantom{99}272\phantom{999}}\\\phantom{68)999}461\\\end{array}
Use the 6^{th} digit 1 from dividend 94158125
\begin{array}{l}\phantom{68)}013846\phantom{12}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\phantom{68)}\underline{\phantom{9}544\phantom{9999}}\\\phantom{68)99}318\\\phantom{68)}\underline{\phantom{99}272\phantom{999}}\\\phantom{68)999}461\\\phantom{68)}\underline{\phantom{999}408\phantom{99}}\\\phantom{68)9999}53\\\end{array}
Find closest multiple of 68 to 461. We see that 6 \times 68 = 408 is the nearest. Now subtract 408 from 461 to get reminder 53. Add 6 to quotient.
\begin{array}{l}\phantom{68)}013846\phantom{13}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\phantom{68)}\underline{\phantom{9}544\phantom{9999}}\\\phantom{68)99}318\\\phantom{68)}\underline{\phantom{99}272\phantom{999}}\\\phantom{68)999}461\\\phantom{68)}\underline{\phantom{999}408\phantom{99}}\\\phantom{68)9999}532\\\end{array}
Use the 7^{th} digit 2 from dividend 94158125
\begin{array}{l}\phantom{68)}0138467\phantom{14}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\phantom{68)}\underline{\phantom{9}544\phantom{9999}}\\\phantom{68)99}318\\\phantom{68)}\underline{\phantom{99}272\phantom{999}}\\\phantom{68)999}461\\\phantom{68)}\underline{\phantom{999}408\phantom{99}}\\\phantom{68)9999}532\\\phantom{68)}\underline{\phantom{9999}476\phantom{9}}\\\phantom{68)99999}56\\\end{array}
Find closest multiple of 68 to 532. We see that 7 \times 68 = 476 is the nearest. Now subtract 476 from 532 to get reminder 56. Add 7 to quotient.
\begin{array}{l}\phantom{68)}0138467\phantom{15}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\phantom{68)}\underline{\phantom{9}544\phantom{9999}}\\\phantom{68)99}318\\\phantom{68)}\underline{\phantom{99}272\phantom{999}}\\\phantom{68)999}461\\\phantom{68)}\underline{\phantom{999}408\phantom{99}}\\\phantom{68)9999}532\\\phantom{68)}\underline{\phantom{9999}476\phantom{9}}\\\phantom{68)99999}565\\\end{array}
Use the 8^{th} digit 5 from dividend 94158125
\begin{array}{l}\phantom{68)}01384678\phantom{16}\\68\overline{)94158125}\\\phantom{68)}\underline{\phantom{}68\phantom{999999}}\\\phantom{68)}261\\\phantom{68)}\underline{\phantom{}204\phantom{99999}}\\\phantom{68)9}575\\\phantom{68)}\underline{\phantom{9}544\phantom{9999}}\\\phantom{68)99}318\\\phantom{68)}\underline{\phantom{99}272\phantom{999}}\\\phantom{68)999}461\\\phantom{68)}\underline{\phantom{999}408\phantom{99}}\\\phantom{68)9999}532\\\phantom{68)}\underline{\phantom{9999}476\phantom{9}}\\\phantom{68)99999}565\\\phantom{68)}\underline{\phantom{99999}544\phantom{}}\\\phantom{68)999999}21\\\end{array}
Find closest multiple of 68 to 565. We see that 8 \times 68 = 544 is the nearest. Now subtract 544 from 565 to get reminder 21. Add 8 to quotient.
\text{Quotient: }1384678 \text{Reminder: }21
Since 21 is less than 68, stop the division. The reminder is 21. The topmost line 01384678 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1384678.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}